Question

8. Ryan sells cars for a living. He gets paid $50 per day plus

a commission of 2% of the total cost of each car he sells. Ryan's daily
earnings (E) can be represented by the equation E = 0.02x + 50 where x
is the amount of his sales for the day.
a. What does the 0.02 represent in the equation?
b. How much did Ryan make on Monday if he only sold one car
for $4,400?
c. Ryan wants to make $1,000 in a day. What must his daily sales be
to reach this goal? Show all work necessary to justify your answer.

Answer 1

a. the 2% commission he receives

b. $138

c. He must make $47,500 in sales

Explanation:

a. No work needed

b. E= 0.02 (4,400) +50, which simplifies to E= 88+50 which continues to 138 dollars

c. To find this you already know E, so you can work backwards

1,000= 0.02 (x) + 50

then subtract 50 from each side

950 = 0.02 (x)

then divide both sides by the 0.02 to get X alone

47,500 = X